225114424000 has 224 divisors, whose sum is σ = 563883121152. Its totient is φ = 89020800000.

The previous prime is 225114423991. The next prime is 225114424033. The reversal of 225114424000 is 424411522.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399847719 + ... + 399848281.

Almost surely, 2^225114424000 is an apocalyptic number.

225114424000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225114424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281941560576).

225114424000 is an abundant number, since it is smaller than the sum of its proper divisors (338768697152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225114424000 is a wasteful number, since it uses less digits than its factorization.

225114424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 225114424000 its reverse (424411522), we get a palindrome (225538835522).

The spelling of 225114424000 in words is "two hundred twenty-five billion, one hundred fourteen million, four hundred twenty-four thousand".